13005628830 has 192 divisors, whose sum is σ = 36587318976. Its totient is φ = 3193344000.

The previous prime is 13005628817. The next prime is 13005628879. The reversal of 13005628830 is 3882650031.

13005628830 is a `hidden beast` number, since 13 + 0 + 0 + 562 + 8 + 83 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30892020 + ... + 30892440.

It is an arithmetic number, because the mean of its divisors is an integer number (190558953).

Almost surely, 2^13005628830 is an apocalyptic number.

13005628830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005628830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18293659488).

13005628830 is an abundant number, since it is smaller than the sum of its proper divisors (23581690146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13005628830 is a wasteful number, since it uses less digits than its factorization.

13005628830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 13005628830 in words is "thirteen billion, five million, six hundred twenty-eight thousand, eight hundred thirty".